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Lecture "Digital Signal Processing"


Basic Information

Lecture overview  
  Lecturers:   Gerhard Schmidt (lecture) and Owe Wisch (exercise)  
  Room:   Building C - SR II (lecture and exercise)  
  Language:   German  
  Target group:   Students of Electrical Engineering and Computer Engineering in their
6th semester, also for students of Computer Science or Physics with appropriate knowledge of signals and systems.
  Prerequisites:   Mathematics for engineers I, II, III, Foundations in electrical engineering I, II  

Topic overview:

  • Signal digitization
    • analogue-to-digital and digital-to-analogue conversion
    • quantization characteristics, quantization noise
    • sample and hold
    • sampling of functions and sequences with/without phase shift, down- and up-sampling (decimation, interpolation)
  • Spectra (DFT and FFT)
    • convolution via DFT, fast DFT evaluation
    • radix-2/DIT FFT and alternatives
    • transformation of real sequences, "pruning" and "zoom" FFT
    • spectral analysis of infinite sequences (windowing, periodograms of random signals)
  • Digital filters
    • difference and state equations
    • equivalent realisations/transformed structures, diagonal form, transition matrix
    • realisation effects (input, arithmetic, and coefficient errors)
  References:       Rabiner, L. R.; Schafer, R. W.: Digital Processing of Speech Signals, Prentice-Hall, 1978
    Kondoz, A. M.: Digital Speech-Coding for Low Bit Rate Communications System, John Wiley & Sons, 1994
    von Grünigen, Daniel: Digitale Signalverarbeitung, Hanser, 2014



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Lecture slides

Link   Content  
    Slides of the lecture "Introduction"
(Introduction, boundary conditions of the lecture)
    Slides of the lecture "Signals"
(Signal types, AD and DA conversion, sample rate conversion)
    Slides of the lecture "Spectra"
(DFT, FFT, fast convolution)
    Slides of the lecture "Filter"
(Structures, state space desciption, realization)



Please note that the questionnaires will be uploaded every week before the excercises, if you download them earlier, you won't get the most recent version.

Link   Content  
  main   additional      
      Exercise 1: Sampling and Quantization  
      Exercise 2: Reconstruction  
        Exercise 3: Sample Rate Conversion / Convolution  
        Exercise 4: Discrete Fourier Transform (DFT) / Radix-2-FFT  
        Exercise 5: FFTs of real and complex signals  
      Exercise 6: Windowing effects  
        Exercise 7: Signal-flow graph  
        Exercise 8: Filter - The effect of coefficient rounding in digital filters (Part 1)  
        Exercise 9: Filter - The effect of coefficient rounding in digital filters (Part 2)  
        Exercise 10: Signal-flow graph (mixed)  
        Exercise 10: Rounding effects in digital filters  
        Exercise 11: Signal-flow graph  
        Exercise 12: Filter  
        Exercise 13: Filter  


Exercise Videos

Video   Content   Exercise date  

Exercises 1 and 2






A formulary can be found below:

Link   Content  



Link   Content   Link   Content  
    Current evaluation     Completed evaluations  


Matlab demos


Current Oral Exams

Below is the list of students with their exam dates. If you do not have a date for the exam yet please use the oral exam booking system on this website. You can find the booking system here. All oral exams take place in the office of Prof. Gerhard Schmidt (Room D-013).

Date   Time   Students (matriculation numbers)   Assessor  
  14.08.2019   11:00 h   1133   Eric Elzenheimer